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Finding the Fourth Proportional to 97.29, 146.14 and 82.10

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Solution

The fourth proportional to 97.29, 146.14 and 82.10 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 146.14 = 82.10 : x
  2. Step 2: Convert to fraction form
    97.29/146.14 = 82.10/x
  3. Step 3: Cross multiply
    97.29x = 146.14 × 82.10
  4. Step 4: Simplify right side
    97.29x = 11,997.68
  5. Step 5: Solve for x
    x = 11,997.68/97.29
  6. Step 6: Final answer
    x = 123.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.